Solve the equation.
-$$4 ^ { - x } = \frac { 1 } { 16 }$$
A) $\{ 2 \}$
B) $\{ - 2 \}$
C) $\left\{ \frac { 1 } { 2 } \right\}$
D) $\left\{ \frac { 1 } { 4 } \right\}$

Name: Solve the equation. -\[4 ^ { - x } = \frac { 1 } { 16 }\] A) $\{ 2 \}$ B) $\{ - 2 \}$ C) $\left\{ \frac { 1 } { 2 } \right\}$ D) $\left\{ \frac { 1 } { 4 } \right\}$
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Question

Quizplus · Accepted Answer

The equation $4^{-x} = \frac{1}{16}$ can be solved by recognizing that $16 = 4^2$, so $4^{-x} = 4^{-2}$. Therefore, $x = 2$.

Solve the Equation 4−x=1164 ^ { - x } = \frac { 1 } { 16 }4−x=161​

Solve the Equation $4 ^ { - x } = \frac { 1 } { 16 }$